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# Lapelace transform for series RL circuit with dc source (Example)

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Name: Professor: Date Laplace transform for series R-L circuit with DC source The equations which are describing the behaviour of the network which are consisting of the elements like resistance and inductance are always in integro-differential type. The integro-differential type of problem can be solved by classical method. The conventional method of solving this type integro-differential type equation were obtained in time domain. The solution of these equations become complicated in the time domain. But we can use transform method to obtain the solution of the differential equations in a simple way. In these section value for R=4150Ω L=0.127H and v=28.4volt at t=0. By putting these value in this equation we can get =&gt; i=28.44150(1-e-41500.127t)So before reaching steady state the expression of i(t) is =&gt; i=6.843(1-e-32677t)mA (Proved). References Bakshi Uday A. and Ajay V. Bakshi. Circuit Theory. Technical Publications 2009. Rajput Saurabh Singh and Dr SS Bhadauria. "Implementation of fir filter using efficient window function and its application in filtering a speech signal." International Journal of Electrical Electronics and Mechanical Controls 1.1 (2012). Schiff J. L. The Laplace Transform: Theory and Applications {Undergraduate Texts in Mathematics}. Springer-Verlag New York Incorporated 1999. [...]

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Words 825

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08.07.2017

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